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A115332
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E.g.f: exp(x/(1-5*x))/sqrt(1-25*x^2).
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1
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1, 1, 36, 256, 11236, 181476, 9461776, 251412736, 15256202256, 574194155536, 39891552832576, 1953973812658176, 153336819846991936, 9264773325882888256, 812060124489852846336, 58352827798669641650176
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OFFSET
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0,3
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COMMENTS
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Term-by-term square of sequence with e.g.f.: exp(x+m/2*x^2) is given by e.g.f.: exp(x/(1-m*x))/sqrt(1-m^2*x^2) for all m.
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LINKS
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FORMULA
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Equals term-by-term square of A115331 which has e.g.f.: exp(x+5/2*x^2).
D-finite with recurrence: a(n) = (5*n-4)*a(n-1) + 5*(n-1)*(5*n-4)*a(n-2) - 125*(n-1)*(n-2)^2*a(n-3). - Vaclav Kotesovec, Jun 26 2013
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MATHEMATICA
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CoefficientList[Series[E^(x/(1-5*x))/Sqrt[1-25*x^2], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Jun 26 2013 *)
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PROG
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(PARI) a(n)=local(m=5); n!*polcoeff(exp(x/(1-m*x+x*O(x^n)))/sqrt(1-m^2*x^2+x*O(x^n)), n)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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